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Related papers: Tetracritical behaviour in a spin-3/2 quantum chai…

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We study the ground-state properties of a spin-1/2 model on a chain containing four-spin Ising-like interactions in the presence of both transverse and longitudinal magnetic fields. We use entanglement entropy and finite-size scaling…

Statistical Mechanics · Physics 2015-06-22 B. Boechat , J. Florencio , A. Saguia , O. F. de Alcantara Bonfim

We identify the leading corrections to Finite-Size Scaling relations for the correlation length and twist order parameter of three mixed-spin quantum spin chains for the critical feature that develops at, $\theta=\pi$, corresponding to a…

Strongly Correlated Electrons · Physics 2007-05-23 R. Bischof , P. R. Crompton

The emergence of a collective behavior in a many-body system is responsible of the quantum criticality separating different phases of matter. Interacting spin systems in a magnetic field offer a tantalizing opportunity to test different…

Quantum Physics · Physics 2023-02-17 Michele Grossi , Oriel Kiss , Francesco De Luca , Carlo Zollo , Ian Gremese , Antonio Mandarino

The relation between critical exponents, characterizing a continuous phase transition, and the fractal structure of physical lines, proliferating at the critical point, is established by considering the two-dimensional O($N$) spin model for…

Statistical Mechanics · Physics 2007-05-23 Wolfhard Janke , Adriaan M. J. Schakel

The critical behavior of many physical systems involves two competing $n^{}_1-$ and $n^{}_2-$component order-parameters, ${\bf S}^{}_1$ and ${\bf S}^{}_2$, respectively, with $n=n^{}_1+n^{}_2$. Varying an external control parameter $g$,…

Statistical Mechanics · Physics 2022-06-22 A. Aharony , O. Entin-Wohlman , A. Kudlis

This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the $OSp(3|2)$ superalgebra. The finite-size properties of the eigenspectra are computed by solving…

Statistical Mechanics · Physics 2019-07-25 Holger Frahm , Konstantin Hobuß , Márcio J. Martins

In this paper we calculate the finite-size corrections of an anisotropic integrable spin chain, consisting of spins s=1 and s=1/2. The calculations are done in two regions of the phase diagram with respect to the two couplings $\bar{c}$ and…

High Energy Physics - Theory · Physics 2008-11-26 B. -D. Doerfel , St. Meissner

The phase diagram of the spin-3/2 Blume-Capel model in two dimensions is explored by conventional finite-size scaling, conformal invariance and Monte Carlo simulations. The model in its $\tau$-continuum Hamiltonian version is also…

Statistical Mechanics · Physics 2009-10-31 J. C. Xavier , F. C. Alcaraz , D. Pena Lara , J. A. Plascak

Critical properties of quantum spin chains with varying degrees of disorder are studied at zero temperature by analytical and extensive density matrix renormalization methods. Generally the phase diagram is found to contain three phases.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Enrico Carlon , Péter Lajko , Ferenc Iglói

We use a modified perturbative renormalization group approach to study the random quantum antiferromagnetic spin-3/2 chain. We find that in the case of rectangular distributions there is a quantum Griffiths phase and we obtain the dynamical…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Saguia , B. Boechat , M. A. Continentino

The low-energy properties of a system at a critical point may have additional symmetries not present in the microscopic Hamiltonian. This letter presents the theory of a class of multicritical points that provide an interesting example of…

Strongly Correlated Electrons · Physics 2009-11-07 Kedar Damle , David A. Huse

We discuss three questions related to the critical behavior of hierarchical spin models: 1) the hyperscaling relations in the broken symmetry phase; 2) the combined use of dual expansions to calculate the non-universal quantities; 3) the…

High Energy Physics - Lattice · Physics 2015-06-25 J. J. Godina , Y. Meurice , S. Niermann , M. B. Oktay

We consider the spin-1/2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

We study the ordering of the spin and the chirality in the fully frustrated XY model on a square lattice by extensive Monte Carlo simulations. Our results indicate unambiguously that the spin and the chirality exhibit separate phase…

Statistical Mechanics · Physics 2015-05-19 Soichirou Okumura , Hajime Yoshino , Hikaru Kawamura

A general formalism of the relation between geometric phases produced by circularly evolving interacting spin systems and their criticality behavior is presented. This opens up the way for the use of geometric phases as a tool to study…

Quantum Physics · Physics 2009-11-13 Jiannis K. Pachos , Angelo C. M. Carollo

We investigate the critical behavior of a spin chain coupled to bosonic baths characterized by a spectral density proportional to $\omega^s$, with $s>1$. Varying $s$ changes the effective dimension $d_\text{eff} = d + z$ of the system,…

Statistical Mechanics · Physics 2012-06-13 Iver Bakken Sperstad , Einar B. Stiansen , Asle Sudbø

The subject matter of this work is a 1D quantum spin - $\frac{1}{2}$ chain associated with the inhomogeneous six-vertex model possessing an additional ${\cal Z}_r$ symmetry. The model is studied in a certain parametric domain, where it is…

High Energy Physics - Theory · Physics 2023-07-19 Gleb A. Kotousov , Sergei L. Lukyanov

In this work we investigate the order of the phase transition of the spin-1 Baxter-Wu model. We used extensive entropic simulations to describe the behavior of quantities which reveal the order of the phase transition. We applyied…

Statistical Mechanics · Physics 2018-08-22 L. N. Jorge , L. S. Ferreira , A. A. Caparica

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

Statistical Mechanics · Physics 2008-11-26 Ian Affleck

Quantum phase transitions that take place between two distinct topological phases remain an unexplored area for the applicability of the fidelity approach. Here, we apply this method to spin systems in two and three dimensions and show that…

Strongly Correlated Electrons · Physics 2009-03-04 Silvano Garnerone , Damian Abasto , Stephan Haas , Paolo Zanardi
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